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iid is an acronym for independent and identically distributed. Many statistical methods assume that the data are iid; that is, that each observation comes from the same distribution and is independent of other observations.
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Expected value of iid random variables
I came across this derivation which I don't understand:
If $X_1, X_2, ..., X_n$ are random samples of size n taken from a population of mean $\mu$ and variance $\sigma^2$, then
$\bar{X} = (X_1 + X_2 …